A uniform und simple method suitable to all d(n) ions is established for the calculation of spin-lattice coupling coefficients G11 and G44 in T(d) symmetry. According to the method, the coefficients G11 and G44 for Fe3+ ion in GaP crystal have been obtained from the high-order perturbation formulae of zero-field splitting in tetragonal and trigonal fields based on the spin-orbit coupling mechanism. The calculated results show good agreement with the experimental findings.
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